A237708 Number of unit cubes, aligned with a three-dimensional Cartesian mesh, partially encircled along the edge of the first octant of a sphere centered at the origin, ordered by increasing radius.

0, 1, 1, 4, 4, 7, 6, 7, 7, 10, 10, 16, 13, 16, 16, 19, 16, 22, 22, 28, 25, 28, 27, 28, 28, 34, 28, 34, 34, 37, 34, 43, 40, 46, 43, 46, 46, 52, 46, 52, 49, 52, 49, 52, 52, 61, 55, 67, 63

Offset: 0

Author

Rajan Murthy, Feb 11 2014

Keywords

• nonn

Examples

			At radius 0, there are no partially filled cubes.  At radius >0 but < sqrt(1), there is 1 partially filled square along the edge of the sphere.  At radius = sqrt(1), there is 1 partially filled cube along the edge of the sphere.  At radius > 1 but < sqrt(2), there  are 4 partially filled cubes.
		

Crossrefs

Cf. A000378 (corresponds to the square radius of alternate entries).

Cf. A234300 (2-dimensional analog).